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Finding the Fourth Proportional to 268.80, 369.26 and 219.54

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Solution

The fourth proportional to 268.80, 369.26 and 219.54 is: 301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 369.26 = 219.54 : x
  2. Step 2: Convert to fraction form
    268.80/369.26 = 219.54/x
  3. Step 3: Cross multiply
    268.80x = 369.26 × 219.54
  4. Step 4: Simplify right side
    268.80x = 81,066.24
  5. Step 5: Solve for x
    x = 81,066.24/268.80
  6. Step 6: Final answer
    x = 301.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.